Please help me solve this

Question

For a standard normal distribution, find:

P(z > -1.98)

Express the probability as a decimal rounded to 4 decimal places.

Answer 1

Reading a z-table can be tricky. If we look up a standard normal distribution z-table with negative values we see that -1.98 is assigned the probability of 0.0239 (note - four decimal places). This represents the calculation for P(z < -1.98) or the area below the curve left of z = -1.98. To calculate P(z > -1.98) we need the complement of 0. 0239 (or the area below the curve RIGHT of z = -1.98. Total area under the curve is '1').

P(z > -1.98) = 1 - P(z < -1.98) = 1 - 0.0239 = 0.9761

Therefore P(z > -1.98) = 0.9761